46193084128128 has 256 divisors, whose sum is σ = 147647134656000. Its totient is φ = 12500201594880.

The previous prime is 46193084128069. The next prime is 46193084128151. The reversal of 46193084128128 is 82182148039164.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203612838 + ... + 203839578.

It is an arithmetic number, because the mean of its divisors is an integer number (576746619750).

Almost surely, 2^{46193084128128} is an apocalyptic number.

46193084128128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46193084128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73823567328000).

46193084128128 is an abundant number, since it is smaller than the sum of its proper divisors (101454050527872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46193084128128 is a wasteful number, since it uses less digits than its factorization.

46193084128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230773 (or 230761 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 46193084128128 in words is "forty-six trillion, one hundred ninety-three billion, eighty-four million, one hundred twenty-eight thousand, one hundred twenty-eight".